# Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

### Acute scalene triangle.

Sides: a = 90   b = 100   c = 95.39439201417

Area: T = 3897.114431703
Perimeter: p = 285.3943920142
Semiperimeter: s = 142.6976960071

Angle ∠ A = α = 54.79112808971° = 54°47'29″ = 0.9566288253 rad
Angle ∠ B = β = 65.20987191029° = 65°12'31″ = 1.13881068494 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 86.60325403784
Height: hb = 77.94222863406
Height: hc = 81.70657169103

Median: ma = 86.74767578645
Median: mb = 78.10224967591
Median: mc = 82.31103881658

Vertex coordinates: A[95.39439201417; 0] B[0; 0] C[37.7388254122; 81.70657169103]
Centroid: CG[44.37773914212; 27.23552389701]
Coordinates of the circumscribed circle: U[47.69769600708; 27.53878527364]
Coordinates of the inscribed circle: I[42.69769600708; 27.31104228366]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.2098719103° = 125°12'31″ = 0.9566288253 rad
∠ B' = β' = 114.7911280897° = 114°47'29″ = 1.13881068494 rad
∠ C' = γ' = 120° = 1.04771975512 rad

# How did we calculate this triangle?

### 1. Calculation of the third side c of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    